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Finding the Fourth Proportional to 979.94, 1,359.66 and 971.58

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Solution

The fourth proportional to 979.94, 1,359.66 and 971.58 is: 1,348.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.94 : 1,359.66 = 971.58 : x
  2. Step 2: Convert to fraction form
    979.94/1,359.66 = 971.58/x
  3. Step 3: Cross multiply
    979.94x = 1,359.66 × 971.58
  4. Step 4: Simplify right side
    979.94x = 1,321,018.46
  5. Step 5: Solve for x
    x = 1,321,018.46/979.94
  6. Step 6: Final answer
    x = 1,348.06

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.